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Table 1 Parameters used for the AR-2 processes describing the statistics of axial and equatorial dipoles in the construction of COV-OBS.x2, compared with those used for the COV-ARCH model of Hellio and Gillet (2018), and the earlier editions COV-OBS.x1 (Gillet et al. 2015)

From: COV-OBS.x2: 180 years of geomagnetic field evolution from ground-based and satellite observations

Field model

\(\sigma _{g_1^0}\) (nT)

\(\sigma _{{\dot{g}}_1^0}\) (nT/year)

\(\omega _{g_1^0}^{-1}\) (year)

\(\chi _{g_1^0}^{-1}\) (year)

\(T_s\) (year)

\(T_f\) (year)

\(\sigma _{1}\) (nT)

\(\sigma _{{\dot{g}}_1^1}\) (nT/year)

\(\omega _{1}^{-1} (year)\)

COV-ARCH

6000

15

400

20

100,000

63

3800

19

200

COV-OBS.x2

7700

10

770

75

100,000

235

4500

10

450

COV-OBS.x1

17300

17

1014

1014

6370

6370

17300

17

1014

  1. In italic font the three (resp. two) free parameters for the axial (resp. equatorial) dipole prior. We use the same parameters for \(h_1^1\) and \(g_1^1\)